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# Determine order and degree (if defined) of differential equation$y'+5y=0$

$\begin{array}{1 1}order 1, degree2 \\order1, degree1 \\ order2, degree1 \\order2,degree2 \end{array}$

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• The highest order derivative present in the differential equation determines the order of the equation. The highest power raised to this derivative determines the degree of the equation.
The highest order derivative present in the differential equation is dy/dx. Hence its order is 1. It is a polynomial in y' and the highest power raised to dy/dx is 1, so its degree is 1. Hence the order is 1 and degree is 1.
edited Apr 7, 2014 by pady_1